Question

. 1) 3(x - 2) = 4x;3) 5(y + 3) = 10;5) -4(x - 2) = -6​

Answer 1

Ответ:

1) 3х-6=4х    3х-4х=6    -х=6 /:-1   х=-6

3) 5у + 15=10    5у=10-15    5у=-5  у=5:(-5)  у=-1

5)-4(x - 2) = -6     -4х+8=-6   -4х=-6-8   -4х=-14    х=-14:(-4)    х=3,5

Answer 2

Sure, let's solve these equations step by step:

1. 3(x - 2) = 4x

First, distribute the 3 on the left side of the equation:

3x - 6 = 4x

Now, let's isolate the variable x. Start by moving 3x to the right side by subtracting 3x from both sides of the equation:

-6 = 4x - 3x

Simplify the right side:

-6 = x

So, the solution to this equation is x = -6.

3. 5(y + 3) = 10

First, distribute the 5 on the left side of the equation:

5y + 15 = 10

Now, let's isolate the variable y. Start by moving 15 to the right side by subtracting 15 from both sides of the equation:

5y = 10 - 15

Simplify the right side:

5y = -5

Now, divide both sides by 5 to solve for y:

y = -5/5 y = -1

So, the solution to this equation is y = -1.

5. -4(x - 2) = -6

First, distribute the -4 on the left side of the equation:

-4x + 8 = -6

Now, let's isolate the variable x. Start by moving 8 to the right side by subtracting 8 from both sides of the equation:

-4x = -6 - 8

Simplify the right side:

-4x = -14

Now, divide both sides by -4 to solve for x:

x = -14 / -4 x = 7/2

So, the solution to this equation is x = 7/2, which is equivalent to x = 3.5.